In triangle ABC, the measure of ∠ABC is 42°, and the measure of ∠BCA is 113º.
What is the measure of ∠CAB?

Answers

Answer 1

Answer:

25º

Step-by-step explanation:

   


Related Questions

A corporation had $125,000 in a bank account on March 1. On April 1, theamount of money in the account had decreased by 8%. On May 1, the amountof money in the account was half of the amount that was in the account on April1. How much money was in the account on May 1?

Answers

Answer:

the answer is 57500

Step-by-step explanation:

Answer:

$5,000

Step-by-step explanation:

1. The figure shows a graph of the function of f(x) in the xy-coordinate plane, with the vertex at (1,9) and the zeros
at -2 and 4.
x
5 6 7 8 9
The function g is defined by g(x) = -3x + 2. Which statements are true? Select ALL that apply.
f{-2) is greater than g(-2).
f{-1) is less than g(-1).
f{0) is greater than g(0)
f(1) is less than g(1).
f(2) is greater than g(2).

Answers

Answer:

f{0) is greater than g(0) and f(2) is greater than g(2).

Step-by-step explanation:

f{0) is greater than g(0) = f(0)=8  and g(0)=2

f(2) is greater than g(2) = f(2)=8 and g(2)= -4

The two statements that are correct are f(0) is greater than g(0), and f(2) is greater than g(2).

What is the general equation of parabola?

The general equation of a parabola is given as,

[tex]y=a(x-h)^2+k[/tex]

where (h,k) is the coordinate of the vertex of the parabola.

The equation of the parabola with vertex (1,9) can be written as,

[tex]y=a(x-h)^2+k\\\\y=a(x-1)^2+9[/tex]

Now, the value of a can be found by putting one zero of the parabola,

[tex]y=a(4-1)^2+9\\\\0=a(3)^2+9\\\\-9=a(3)^2\\\\-9=a9\\\\a=-1[/tex]

Thus, the equation of the parabola can be written as y=-(x-1)²+9.

A.) The value of the two functions when the value of x is -2 can be written as,

[tex]f(x)=-(x-1)^2+9\\\\f(-2)=-(-2-1)^2+9\\\\f(-2)=0[/tex]

[tex]g(x) = -3x + 2\\\\g(-2) = -3(-2) + 2\\\\g(-2)=8[/tex]

Therefore, f(-2) is less than g(-2).

B.) The value of the two functions when the value of x is -1 can be written as,

[tex]f(x)=-(x-1)^2+9\\\\f(-1)=-(-1-1)^2+9\\\\f(-2)=5[/tex]

[tex]g(x) = -3x + 2\\\\g(-1) = -3(-1) + 2\\\\g(-1)=5[/tex]

Therefore, f(-1) is equal to g(-1).

C.) The value of the two functions when the value of x is 0 can be written as,

[tex]f(x)=-(x-1)^2+9\\\\f(0)=-(0-1)^2+9\\\\f(0)=8[/tex]

[tex]g(x) = -3x + 2\\\\g(0) = -3(0) + 2\\\\g(0)=2[/tex]

Therefore, f(0) is greater than g(0).

D.) The value of the two functions when the value of x is 1 can be written as,

[tex]f(x)=-(x-1)^2+9\\\\f(1)=-(1-1)^2+9\\\\f(1)=9[/tex]

[tex]g(x) = -3x + 2\\\\g(1) = -3(1) + 2\\\\g(1)=1[/tex]

Therefore, f(1) is greater than g(1).

E.) The value of the two functions when the value of x is 2 can be written as,

[tex]f(x)=-(x-1)^2+9\\\\f(2)=-(2-1)^2+9\\\\f(2)=8[/tex]

[tex]g(x) = -3x + 2\\\\g(2) = -3(2) + 2\\\\g(2)=-4[/tex]

Therefore, f(2) is greater than g(2).

Thus, the two statements that are correct are f(0) is greater than g(0), and f(2) is greater than g(2).

Learn more about Equation of Parabola:

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What evidence from the end of the drama and the folktale best supports the answer to Part A? Write the similar details in the boxes.

Answers

Answer:

Step-by-step explanation: its blurry sorry

Answer:

the similar details in the boxes.

Step-by-step explanation:

The owner of a hair salon franchise in the city asked all of her stylists to report how many new clients they serviced within the last year. The list of new clients serviced is shown below.

Number of New Clients Serviced over the Past Year: 59, 32, 37, 53, 10, 12, 57, 50, 48, 50, 61, 37, 35, 44, 49, 55, 59, 62, 43, 48, 59, 61, 64, 37, 18, 11, 44, 50, 57, 63, 47, 27

The salon owner used this list to create a histogram.

Answers

Answer:

It's 55-59 and 60-64

Step-by-step explanation:

The inaccuracy in the histogram was discovered by the owner would be:

55-59

60-64

Data Table

The inaccuracy in the number of new clients due to the inapt portrayal of the data between intervals 55-59 and between 60 and 64.

They show the number of new clients as 5 and 6 in these intervals which is incorrect and hence, the histogram becomes wrong.

The actual frequency in these intervals is quite lesser as provided by the data and hence, the shown data is invalid.

Thus, the above responses are correct.

Learn more about "Histogram" here:

brainly.com/question/1230107

An engineer filled a tank with water and made a graph of the number of gallons of water in the tank after a given period of time

Which rate is equal to the equivalent ratios of points on this graph? SELECT ALL THAT APPLY.

A. 3 gallons/ 4 minutes
B. 1 gallon/ 1 1/3 minutes
C. 1 gallon/ 4 minutes
D. 4 gallons/ 3 minutes
E. 12 gallons/ 16 minutes
F. 60 gallons/ 44 minutes

Answers

D.


Because u should trust me
The answer who’ll be E

A small fish tank holds 12 pints of water. How many fluid ounces are in 3 small fish tanks?

57.6 fluid ounces
576 fluid ounces
5,766 fluid ounces
57,666 fluid ounces

Answers

576 fluid ounces

12x3=36
Convert

Answer:

B. 576

Step-by-step explanation:

There are 16 oz in a pint so 12 pints = 192 oz and 192*3=576

The table below shows field goal statistics for three different kickers.
Kicker Field goals attempted Field goals made
A 14 12
B 18 15
C 24 19
Order the kickers by their field goal success rate from least to greatest.

Answers

Answer: Kicker C, kicker B, and then kicker A

Step-by-step explanation:

divide the field goals made by field goals attempted to get the success rate. A = 12 / 14 = 0.857 B = 15 / 18 = 0.83 C = 19 / 24 = 0.79

0.79 < 0.83 < 0.857

Answer:

cba

Step-by-step explanation:

There are thirty-nine pets at the pet shop where Delia works. There are two times as many mammals as reptiles in the store. How many reptiles are there at the pet store?

Answers

your answer would be 13
because 13x2=26 then 26-39=13
There are 79 reptiles at the pet store Delia works.

What is the solution to 12 - 6x > 24

Answers

Answer:

x < -2

Step-by-step explanation:

12 - 6x > 24

Subtract 12 from both sides.

-6x > 12

Divide both sides by -6. (When you divide an equality by a negative number, the "greater than" sign becomes a "less than" sign, and vice versa.)

x < -2

Answer:

x < -2

Step-by-step explanation:

helpppppppppppppp pleaseeeeeeeeeeee

Answers

Answer:

WHAT IS THE QUESTION?

Step-by-step explanation:

An object’s height is measured in centimeters and in inches. Two rulers, one showing inches, the other showing centimeters. The rulers are aligned at zero. An arrow extends from the one inch mark on the first ruler toward the equivalent length on the other ruler, with the caption, one inch equals two and fifty-four hundredths centimeters. Write an equation that relates the number of centimeters c to the number of inches i. Determine the height in centimeters of a chair that is 32 inches tall. Enter the correct answers in the boxes.

Answers

If an object’s height is measured in centimeters and in inches. the height of the chair in centimeters is 81.28 cm.

How to find the height?

We know that one inch is equivalent to two and fifty-four hundredths centimeters. We can write this as:

1 inch = 2.54 centimeters

To find the equation that relates the number of centimeters c to the number of inches i, we can use this conversion factor:

c = 2.54i

This equation tells us that the number of centimeters is equal to 2.54 times the number of inches.

To find the height in centimeters of a chair that is 32 inches tall, we can plug in i = 32 into the equation above:

c = 2.54i

c = 2.54(32)

c = 81.28

Therefore, the height of the chair in centimeters is 81.28 cm.

Learn more about height here:https://brainly.com/question/73194

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plz help me have a nice day

Answers

Answer:

a

Step-by-step explanation:

the answer is a

900+60+1+20+4

PLEASE HELP WILL MARK BRAINLIEST!!!

Answers

Answer:

Mode is 5 cuz 5 has the most numbers

Step-by-step explanation:

the answer is 5 because mode is the value that appears the most

please help thank you soooo much

Answers

2 minutes and $7.50 would be the answer please put me down as brainliest

Answer:

Question 5 - 30 seconds

Question 6 - 7.5

Step-by-step explanation:

For question 5, just check and think, if it was 1 min per block, it would take 10 mins not 5. Which leads to 30 seconds.

For question 6, All I did was multiply all the answers by 40 and then check which equals 300.

HELP FAST

The temperature in the morning was -4 F. At night the temperature dropped to -12.8 F. How can the temperature drop from the morning to the night be represented? A. 16.8 LB. 8.4 F C. -8.8 F D. -16.8 F

Answers

Answer: d)

Step-by-step explanation: hope this works I been thinking

D because the other person said it glad this helps

Please Help/Easy Question/ Will Mark Brainliest/ 30 Points
Use a net to find the area of the entire surface of the solid.​

Answers

Answer:

67 square units

Step-by-step explanation:

(4x5)2 + (3x4) + (3x5)

40 + 12 + 15

40 + 27

67

Answer:

25!!

Step by Step Explanation:

Just 5*5 which is equal to 25.....just see the squares and mult.

Which of the following represents the area of the shaded region created by the rectangle and four congruent circles?

A.1O8 Square inches
B.492 square inches
C.420 square inches
D.528 square inches

Answers

Answer:

D. 528

Step-by-step explanation:

It would be D because 24x22= 505+(6x4)=528

Redyyfftchfyefyvuvu I’m sry hdgxxydyfyguvu

what is 5 1/10x2/6????

Answers

Answer:

1.7

Step-by-step explanation:

Answer:

1 7/10

Step-by-step explanation:

First,

You have to convert any mixed numbers to fractions and reduce the fractions as much as possible.

51/10 x 1/3

Then,

Multiply the two numbers using the 'Fraction formula."

51/30

Lastly,

Simplify 51/30 back to a mixed number.

1 7/10

he average cost of gas per gallon last year was $2.649. This year, the average cost of gas per gallon is $2.999. Find the percent of change. State whether the change is an increase or decrease.

Answers

Answer:

The average price of diesel is $2.55.

Step-by-step explanation:

The average price of diesel is $2.55, the same as two weeks ago. Gas prices vary based on a number of factors, including local competition, fuel demand, refineries, oil and gasoline inventories and transportation costs.

Answer:

Its a 13.2125% Increase.

Step-by-step explanation:

At a pizza shop, you can choose thick or thin crust, red or white sauce, and toppings of pepperoni, cheese, or vegetarian. Create a tree diagram to display the sample space.

Answers

Answer: thick,white,pepperoni  thick,white,cheese           thick,white,vegetarian<>thick,red,pepperoni  thick,red,cheese thick,red,vegetarian><thin,red,pepperoni thin,red,cheese, thin,red,vegetarian>> thin,white,pepperoni thin,white,cheese thin,white vegetarian :) have a nice day

The tree diagram will have factors  Pizza , thick and thin , red or white and toppings .

What is a tree diagram?

A tree diagram is a new management planning tool that depicts the hierarchy of tasks and subtasks needed to complete and objective. The tree diagram starts with one item that branches into two or more, each of which branch into two or more, and so on.  

According to the question

At a pizza shop, you can choose thick or thin crust, red or white sauce, and toppings of pepperoni, cheese, or vegetarian.

In a tree diagram shown as following

1. Pizza

2. thick and thin

3. red or white

4. toppings  

The tree diagram to display the sample space is attached below .

Hence, the tree diagram will have factors  Pizza , thick and thin , red or white and toppings .

To know more about  tree diagram here:

https://brainly.com/question/13311154

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A right rectangular prism is filled to capacity with 152 cubes, each with 12 -inch long edges. What is the volume of the prism?

Answers

The is Answer 204 inches
Yes the answer is 204 inches

help please nowwwwwwwwwwwwww

Answers

A, the first option is correct
It’s A!!! I did the answerrrrrrerrrrrrrrrrrrr

John is testing his friend. He wrote the following on an index card:

My grandfather is 68, adopted my mother on Sunday, March 18, 2001. My mother was not even a year old. My mother had me at 18. How old am I?

Answers

Answer:

2 exactly

Step-by-step explanation:

2 years and 1 day is the answer forsure

The ratio of one lengths of corresponding sides of two similar hexagons is 4:7. Find the ratios of their PERIMETERS.

Answers

9514 1404 393

Answer:

  4 : 7

Step-by-step explanation:

The ratio of perimeters is exactly the same as the ratio of side lengths. Multiplying each side by 7/4 multiplies the sum of the sides by 7/4.

The ratio of perimeters is 4 : 7.

help plsss
Write an equation for the word problem and solve it (show work).

"ally became a waiter at a fancy restaurant. She makes $9 per hour. One night she made $150 in tips. How many hours did she work if he made a total of $226.50."

Variable: x = hours
Equation: __________________
Work:
Solution: x = ______ hours

Answers

Answer:

226.50 - 150 = 76.5 divided by 9 = 8.5 hours

Step-by-step explanation:

Answer:

8.5 hours

Step-by-step explanation:

First, you need to subtract 226.50 and 150 which gives you 7.65. After that, you need to divide 76.5 by 9 which will give you 8.5 hours. I hope this helps

solve this please
3(2y+3)-4y=-3

Answers

Answer:

=−6

Step-by-step explanation:

Answer:

y= -6

Step-by-step explanation:

First step: Distribute the 3 (times everything in the parintheses by 3)

6y+9-4y=-3

Then, Combine like terms

2y+9=-3

Subtract 9 from both sides

2y=-12

Divide by 2

y=-6

this is so hard i need some help ill give brainliest too

Answers

Answer: They are incorrect

Step-by-step explanation: They are incorrect because 12+15=27 and 20+9=29 so it won't work out because the numbers need to be equal. I hope this helps!

HELP!!!!!!!!!!!!!!!!

Answers

ratio x coordinates = 20/10
ratio y coordinates = 10/5
here’s a picture incase :)
X = 20/10

Y=10/5

Hope it helps

Amil is given the equation shown.
x2 + 14x + 37 = 0
He completes the square and rewrites the given equation. Which equation is
equivalent to the given equation?
A.
(x + 7)2 – 12 = 0
B.
(x – 7)2 – 12 = 0
C.
(x + 7)2 + 12 = 0
D.
(x – 7)2 + 12 = 0

Answers

The answer should be c not very sure probably wrong don’t trust me just want points
The answer is A:

X^2 +14X +37
X^2 +14X +37+12 -12
(X^2 +14X +49) - 12
Group and factor.
(X+7)^2 -12= 0

Thank you! Please give me points :>

Can you plz help me right now

Answers

Answer:

so the first awnser is 90 and i am verry sorry but i do not know how to do the second one and the third does not have enogh information

Step-by-step explanation:

1. so first 12 inches is one foot, multiply 12 by 60 to get 720 now because it says that 1 inch is 8 feet and 720 is how manny inches it is so 720 divided by 8 is 90.

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